So (as pointed in [1]} for the \(x\) -orientation), in this case the
symmetry of the space-time is restored for all orientations. However, out of
the ZAMO configuration, the behavior of the Casimir apparatus strongly depends
on the orientation,
\(\frac{\bar{\epsilon }_{vac}^{\left( y\right) }}{\bar{\epsilon }_{vac}^{\left(x\right) }}=1-g\left( \delta \right) \left[ 1+2g\left( \delta \right)\right] ~,\ \delta =\left|\Omega -\omega _{d}\right|\in \left[0,\frac{r^{2}}{A}\sqrt{\Delta }\right) ~,\ \) 
